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Simplifying 6(x + 1) = 2x + 34 Reorder the terms: 6(1 + x) = 2x + 34 (1 * 6 + x * 6) = 2x + 34 (6 + 6x) = 2x + 34 Reorder the terms: 6 + 6x = 34 + 2x Solving 6 + 6x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = 34 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = 34 + 0 6 + 4x = 34 Add '-6' to each side of the equation. 6 + -6 + 4x = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 34 + -6 4x = 34 + -6 Combine like terms: 34 + -6 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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